Question: The element mass matrix in the global coordinate system, ([bar{m}]), can be expressed in terms of the element mass matrix in local coordinate system ([mathrm{m}])

The element mass matrix in the global coordinate system, \([\bar{m}]\), can be expressed in terms of the element mass matrix in local coordinate system \([\mathrm{m}]\) and the coordinate transformation matrix \([\lambda]\) as

a. \([\bar{m}]=[\lambda]^{T}[m]\)

b. \([\bar{m}]=[m][\lambda]\)

c. \([\bar{m}]=[\lambda]^{T}[m][\lambda]\)

Step by Step Solution

3.34 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

c barmlambdaTmlambda The correct expression for the element mass matrix in the global coord... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mechanical Vibration Analysis Questions!